257988320 has 24 divisors (see below), whose sum is σ = 609497784. Its totient is φ = 103195264.

The previous prime is 257988317. The next prime is 257988343. The reversal of 257988320 is 23889752.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 806054 + ... + 806373.

It is an arithmetic number, because the mean of its divisors is an integer number (25395741).

Almost surely, 2^257988320 is an apocalyptic number.

257988320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257988320 is an abundant number, since it is smaller than the sum of its proper divisors (351509464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

257988320 is a wasteful number, since it uses less digits than its factorization.

257988320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612442 (or 1612434 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The square root of 257988320 is about 16062.0148175750. The cubic root of 257988320 is about 636.6000691771.

The spelling of 257988320 in words is "two hundred fifty-seven million, nine hundred eighty-eight thousand, three hundred twenty".